Question

if 2x +3y=8 and xy=2, find the value of 4x2+9y2​

Answer 1

Answer:

Given

2x+3y=8 and xy=2, 

formula,

(a+b)2=a2+b2+2ab

∴(2x+3y)2=4x2+9y2+2(2x)(3y)

(2x+3y)2=4x2+9y2+12xy

82=4x2+9y2+12(2)

∴4x2+9y2=64−24=40

Answer is 40

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